I spot clay every vehicle with every wash, have for many years. I hardly *ever* have to rewax after claying, but it all depends on how aggressively you have to clay to remove the contamination.
If you're lucky you can clay it off so gently that you pull the contamination out of your LSP. Very gentle, almost no pressure, take your time and use lots of lube. No need to rewax then. This is my usual experience.
More likely you will have to clay "hard" enough that you should at least refresh the LSP on that panel. You won't remove it all down to bare paint, but you'll remove some of the LSP. Sal Zaino has, I hear, said that "normal" claying will remove about half a layer of Zaino.
In the worst case, you'll have to clay very aggressively and will thus cut through the LSP. In this case you're almost misusing the clay, the claying is supposed to be a very gentle process (*pulling* contamination *out*, not *rubbing* it *off*). But if the contamination has "burned" deep into the LSP, let alone gone through the LSP to the paint, then your LSP is compromised anyhow.