Keep your elbows tighter in until the weights are at the shoulder, instead of moving them into “pressing position” as they’re still rising.
A dumbbell clean basically is a “power hammer curl”. It’s just the way the weight has to move because you can’t really keep your hands pronated like with a barbell. So at the top of the clean, you basically have the thumbs on your front delt. Then for the press, work it almost like an Arnold press - up and out.
Also, you could bring them a bit lower towards your knees (not back behind them) and get more glute drive at the start of the movement instead of just swinging them up.
FWIW, a bunch of years ago I was working on them from the floor, not the hang. Same basic idea though:
