Last Friday, I started to mess with a coworker. Things were going good that night. Until she hits me with this

"You're not seeing anyone right?" "No. why?" "Well you're single so you can see whoever you want but I get jealous easily"

I thought we were going to keep it professional at first. I come in Monday and we act as normal colleagues. Barely look at each other and just work our shifts. Until I found out that the following two days, she's been telling our entire team what had happened. Just got a text asking about FWB, should I just continue it now or forget about it because I've been told that she's a clinger?

I'm not looking for drama in my life and am looking to expand my career here.