Exactly.. its her interpretation.. just let her go...

You are just keeping busy, you aren't sending her flowers or love letters or inviting her to dinner or ANYTHING of the kind...

Next time she says you are clinging just say "For someone that wants to be free of me you have a hard time leaving me alone... If you don't mind I am pretty busy right now and I would like it if you went away please?"

And just walk away

Or

"You can accuse me of whatever you like... All I am doing is NOT what you demand I do... That doesnt' make me clingy, it means I aint' your doormat... Now go away please..."

Keep working on them... they are drafts...