I'm really not going to be much help. Except to say I have one too, but she's slowly loosening the grip... enough to wreak havoc! If she's not on me, or at me, she's doing something she shouldn't be.

My advice is to use the other kids to entertain him. Or sit him down in the kitchen with utensils he can play with. Different things they don't usually get are way more fascinating. Even put water & bubbles in a bowl, on a towel on the floor, with a whisk, spoon etc while you cook dinner. If amuses him for 10 minutes here & there, he'll slowly (hopefully) start to be more interested in other things & let go a little. Give him his own spray bottle & sponge to clean while you clean? May not work for the length of a shower, but you might just be able to do a few things with him at your feet instead of on your hip.

And the Wiggles? At that age mine weren't much fussed on TV, but the wiggles & all their singing, dancing & bright colours can work. I know you're not supposed to use the TV that way, but I really don't care, I have & I will! (I hate the new Wiggles BTW )