Clay soils don’t ‘settle’ as such. You get settlement which is caused by loading (consolidation) which if you have unloaded it could conceivably cause some uplift, but it’s unlikely you will have removed sufficient load for that to be noticeable.
If you have a settlement issue caused by mining issues you will have a far bigger problem that no amount replastering is going to help…
I would be checking that the chimney breast removal was done correctly and in line with building regs etc. I.e it has been removed to the roof and if not what’s supported on properly designed steels and not a couple of 2×4”’s.
A structural engineer once said it’s not a crack until you can get your hand in it or you can see day light through it… I think I would be worrying before that point however…
I would be wondering how much support from the adjoining wall has been removed by two chimneys being removed on either side and whether you have ended up with a poorly laterally support wall.
Disclaimer IAA Geotechnical Engineer not a Structural Enginner but I work with them.