If you decide to modify a too-tight ring, remember that in service the ring is pushed out by pressure behind it (as already mentioned above). On a single-acting engine (eg petrol or diesel) this means that it is better to re-machine the top edge of the piston groove, or to rub down the top of the ring, to give you the clearance you need. On a steam engine – usually double acting – you can do either way, but be very careful to achieve a good smooth finish.
And 'a fairly tight fit' may not be good enough. If the ring is cast iron and the piston is aluminium, all might be well, as the light alloy expands more with heat.
And during the running-in process, the relevant surfaces should rub lightly against each other, rubbing off any high spots, and resulting in a smoother, gas-tight assembly.
Regards, Tim