M.H.
My son went through major attachment issues but it was only to me, occasionally to my husband. The only way we got through it was to have a routine every time we put him down or left, we'd say something like now you're going to play and i'll be right back, or you're going to play with "blank" and I'll see you later, bye bye. And then just let him cry. We would try for a moment to distract him (change setting, go outside, give snack, etc) but if it didn't work we put him down and went on with what we were doing, he didn't like that we ignored him so he stopped and then he would get attention again. One thing that really helped was I talked to him non stop, he'd be in the living room and I'd carry on a conversation with him while I cleaned up the kitchen or went to the bathroom, etc. Good luck and trust its only a phase.