After watching (& doing myself !) a chip replacement in my mates CRD, I can tell you that taking a Chip on/off leaves no trace whatsover.
BUT, if you were to do it repeatedly, then I imagine that some of the heat proof foam/ sound deadening insulation on the cylinder head (which needs to be gently bent back to access the common rail) may show some 'evidence' after a while - but that would be after many, many goes !

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Yeah it's a Chrysler you muppet. If it was a Bentley it would have a big B on the badge.
"I love the smell of diesel in the morning"