Another thought, boxing is probably the most important striking skill for grapplers in full contact fighting. As others have mentioned, the head movement you will learn will be invaluable in closing the distance and entering the clinch/attempting takedowns without taking a lot of shots. My wrestling skills have found a whole new level of effectiveness after my exerpience in boxing. In wrestling/grappling you set up the takedown by hand fighting. Boxing is the "hand fighting" of full contact figthing.