You can start lubricating the tightened skin gently as early as 2-3 days after surgery. However you should not touch the incision until okayed by your surgeon.Gentle massage of the non-incision skin even from pressure external to the garment can help it feel better and help reduce swelling since this is a type of lymphatic massage. Talk with your surgeon about how to do this safely and properly.
My recommendation would be to ask your plastic surgeon about application of topicals to your skin. Best wishes for a smooth recovery.