As much as he doesn't admit it, Drought loves it when you compliment him. He'll say he's great, that Zardy just can't see his potential, but there's just something about someone confirming that verbally that makes him swoon. He'll pull you close using his scythe all smooth-like, saying things like “You understand me so well, rabbit.” or "You're only right to agree.” or even “Do you say anything that's not right, little rabbit?” One thing he will not do is directly ask you to "sing his praises" more, as he'd feel a form of embarrassment from this and he refuses to let his ego get hurt. (brush that ego of his a bit more, come on, do it.)
Adding onto this, Drought enjoys redirecting you using his scythe, pushing the blade against your back or side not enough to hurt or cause damage, but still enough to make you uncomfortable enough with the lurking danger of the sharp blade to make you go the way he wants you to go.
Easily frustrated, unlike Zardy or Pumpkin Jack who get competitively possessive, Drought will act all huffy and irritated if you don't show him enough attention or show the others attention in front of him. (This is partially because he feels underappreciated by the rest of the crew already, and would hate you doing the same to him. Not that he'd ever admit that.)
^^ Will kill one of Pumpkin Jack's vines if the other has you wrapped up or you're peppering that pumpkin with attention, both to get your attention and to give an (albeit empty) warning towards the scarecrow. At some point in time, you've had to break up the tension between them to prevent a fight like you're breaking apart two cats having a stare off.
Not always the most physical, but enjoys petting your hair like one would a pet (the nickname rabbit isn't for no reason, after all) absentmindedly, either when he's working on something or is bored and just needs to do something with his hands.