What you are referring to is a tending grunt I believe. The clicking sound that deer make is from a buck and he does it prior to mating. I am PRETTY sure that he does it to tell the doe to STOP so he can try to mate with her. Its his way of getting frustrated and saying you better stop and let me mate with you or else..

Also.. I have a Primos Buck Roar.. and with that call I can replicate this sound you are referring to fairly well..