Did you use Crucial's Memory Advisor Tool? If only low profile RAM fits this should have been identified and you shouldn't have been sent incompatible RAM. Crucial guarantee's system compatibility when you use their advisor.
In either case if you bought the correct type of RAM for your computer then it should have fit no matter if it was low profile or full profile, and by the looks of the images I've found they are fairly standard clips.
What can have an impact with Dell systems is they have a tight fit when you put the computer back together. Something above the RAM gets in the way and therefore only low profile is recommended. But if you say the clips don't meet are you sure the RAM was seating correctly if you had the correct type...