My LO is almost 17 months and can be very whiny and wants picking up a lot, I get down to his level and say mummy is just.....I'll be 2 mins and then we can play or I'll pick u up, why don't you go choose a toy or story to read! Or I sometimes give him a cloth to pretend clean or a dustpan and brush and say good boy why dont u help mummy. I find distraction works way better than ignoring!!