How soon can I start exercising after chin lipo and buccal fat extraction?

This is my favorite combination to sharpen a jaweline just FYI.I would check with your surgeon. The buccal fat should not be an issue but depending on how the implant was secured you may want a few weeks off.Hope this helps,Best of luck,DrC

In our practice, we ask the patients  to refrain from exercising for 2 weeks to prevent swelling and bleeding at the surgical site in the neck.

It’s unlikely exercise is going to have a negative impact on the outcome of your procedure.
Plastic surgeons will Have different views. The only view that matters is your chosen surgeon so please ask him or her.
It’s not appropriate for us to dictate post operative protocol for another provider.
Theoretically intense exercise can temporarily increase blood pressure causing bleeding after surgery.
The chance of this goes down with time.
It’s fairly rare from both procedures you have described.
Best, 
Mats Hagstrom MD