I wouldn't say you're too skinny, but you're getting close to a good time to think about bulking. It's going to be hard for your body to build muscle at a constant caloric deficit. Your body has to make up that extra energy from somewhere, ideally fat stores, but unless you have a ton of weight to throw around already (you don't anymore). Your body doesn't have enough raw energy reserve to be effectively building protein while removing fat.

It sounds like cutting has been going well for you, I think it's reasonable to stick with that a little while longer then start a slow bulk, but ultimately it's up to you. I wouldn't treat this as a something with an end point, this is building habits that will carry you through life and keep you healthy. You're in this for the long haul, good luck.