J.J. Putz Mariners equals Miguel Tejada Athletics with 5 times being kept before Round 3 (5 times K3). There was one other guy who had also previously been K3 4 times, but his name has not come up yet this time.
Disco Dogs' intuition that Jose Canseco is an unusual draft pick was correct. DD's pick would have been a first for Canseco, though he's been K3 2 times, K2 2 times, and even K1 once (Cheno5, Leg 32).