I believe this is a congruent conflation of “eating out of his hand” and “twisted around his little finger“, both meaning to control or manipulate others. “At your fingertips” (within reach) might also be in the jumble. Regardless, this malaphor paints an unsanitary picture but one worthy of posting on Labor Day. Here’s to all the hardworking nurses out there! A shout out to Steve Grieme for sending this one in.