Discussion
I've seen many with cracks in the veneer, inevitable in the end usually, but not many peeling away! I presume it has been previously replaced?
I'm a fan of 2-part epoxy resin for most things like this but it may not be suitable at such a thin layer that it isn't obvious.
Contact adhesive maybe?
I'm a fan of 2-part epoxy resin for most things like this but it may not be suitable at such a thin layer that it isn't obvious.

just to share an odd thing that happened to my dash, I've had the car for 20 years, prior to my ownership the dash must of been out and repaired as the numberplate was written on the back of it. One day the front of the oil gauge fell off while driving, a couple of the gauges were partially dissolved and weakened by whatever glue was used and were partially glued into the dash. They must of put the dials in too soon after glueing. I switched the whole lot to a new dash from a chap selling on piston heads and had to replace a few dials.
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