Not really though.
The reality was that Sussman never represented either Hillary nor the Clinton Campaign. He never appeared for them as counsel, either in court or in any pleading before the court. And Sussman was never billed by either Hillary or her campaign.
The way Durham, and right wing media get there, is that the Clinton campaign did hire Sussman's Law Firm, Perkins Coie towards the end of 2016 in regards to the hack of the Democratic National Committee. One of the lawyers from Perkins Coie used the data collected by Sussman in 2015 regarding Trump servers pinging off Alfa Bank.
The devil is in the details, which Durham kinda buries in the middle of his filing here:
'On or about September 15 , 2016, Campaign Lawyer-1 [not Sussman]
exchanged emails with the Clinton Campaign's campaign manager, communications director, and foreign policy adviser concerning the Russian Bank-1 allegations that SUSSMANN had recently shared with Reporter1,' it says.
Essentially, Durham takes the work Sussman did under a federal contract along with Tech Co's 1&2, that was turned over to the Justice Department (under Obama, and later Trump) and the CIA; and makes the claim that since another lawyer who WAS counsel for the Clinton Campaign used that same data (two years after it had been handed over to the press and the federal government), then Sussman worked for the Clintons.
I'd call that a lie. First, it's flat out false to say that Sussman was the lawyer for Clinton or her campaign. If you say someone is someones lawyer, then that means they have an attorney client relationship (actual representation) and not just, well there was another guy at firm who relied on some of his previous work for a different client (the federal government under Obama and Trump) for a later case.
Perkins Coie isn't a small law firm. It's got more than 1,200 attorneys spread out over 20 worldwide offices.
https://www.perkinscoie.com/en/professionals/index.html?start=0&count=30
And it would be inaccurate to refer to one of them, who is not actually representing the client, as "her lawyer," or "a lawyer for the Clinton Campaign, simply because a different lawyer in your mega-firm was.
Sussman's team points this out in their filing. That Sussman was not actual counsel, nor was he ever billed by either Clinton or her Campaign.
[t]he Special Counsel implies that in Mr. Sussmann’s February 9, 2017 meeting, he provided Agency-2 with EOP data from after Mr. Trump took office, the Special Counsel is well aware that the data provided to Agency-2 pertained only to the period of time before Mr. Trump took office, when Barack Obama was President. Further—and contrary to the Special Counsel’s alleged theory that Mr. Sussmann was acting in concert with the Clinton Campaign—the Motion conveniently overlooks the fact that Mr. Sussmann’s meeting with Agency-2 happened well after the 2016 presidential election, at a time when the Clinton Campaign had effectively ceased to exist. Unsurprisingly, the Motion also omits any mention of the fact that Mr. Sussmann never billed the Clinton Campaign for the work associated with the February 9, 2017 meeting, nor could he have (because there was no Clinton Campaign). And the Special Counsel persists in alleging that Mr. Sussmann billed the Clinton Campaign for his meeting with the FBI in September 2016, when that is false as well.
Which is why the claim that Sussman lied to Baker in 2016, when he didn't take a meeting with the fellow attorney until Feb 9, 2017 (when you can really stretch the truth and claim Sussman was now working for the Clintons), makes no sense.
Regardless, saying someone was someones lawyer, has a very particular meaning within the law. Bottom line: you don't refer to someone as "their lawyer," unless they have an actual attorney client relationship (based on actual representation, or at least belief by the client (if you want to go full law school exam) that this person was representing them.))
Neither applies to Sussman here, as he very clearly was not representing Clinton or her campaign, nor did he ever appear as an attorney for them in any capacity. Nor was he ever billed for any work he did by Clinton or her campaign.
So to say Sussman worked for the Clintons, you'd also have to claim that all 1,200 members of that law firm, as well as anyone who compiled any data that was used by anyone in that law firm, also worked for the Clintons.
And that would be both stupid, and dishonest.