C&C would be horrified if someone said they had a certain style and/or that their work could be pigeonholed. The opposite is true - they try to build courses that are reflective of each particular environment. Thus, their courses remain unique, even when compared to one another.
Having said that, there are consistencies, namely:
1. Teeing areas that are square to rectangle and not too many of them.
2. Width off the tee
3. Bunkers that appear rugged, naturalistic. Remember Coore's words in the foreword to Robert Hunter's The Links: "I have never encountered a more perfect description of the artistic construction of bunkers than the following: [quoting from Robert Hunter] They should have the appearance of being made with carelessness and abandon with which a brook tears down the banks which confine it, or the wind tosses about the sand of the dunes…forming depressions or elevations broken into irregular lines. Here the bank overhangs, where there it has crumbled away." Jeff Bradley and the Boys capture this from site to site but look at the pictures of the bunkers at Chessessee Creek, Cuscowilla, Hidden Creek, Kapalua, Sand Hills and the upcoming Friar's Head course profile: aren't the bunkers varied in appearance (unlike Raynor's) even while remaining true to Hunter's quote above?
4. Greens that are open in front. As for the putting surfaces themselves, they are wildly different with no discernible repetition like a Double Plateau or "thumb print" Raynor green.
Unlike Raynor, C&C don't repeat or stamp out any particular type hole onto each and every site. Of course, if an opportunity at a site presents itself for a Redan ala 4 at Hidden Creek or a modified Redan ala 11 at Kapalua, then sure, they will pose that classic problem to the golfer.
Cheers,