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The tool you need is known as a'peg spanner'. Naturally there is more than one size - I have what may be described as an 'adjustable' version which is a springy U shaped tool with a peg on each end of the U.
It's usually possible to do this job with the corner of a flat bladed screw driver, but the cup is probably harder than the screwdriver which may get chipped, and it can be tricky to keep the adjustable cup in place while you tighten the lock ring - but Ive done this successfully in the past.
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I have been to my local Bike shop and he didn't have any official tools for tightening up these BB cups either and instead used the same process as Clubman suggested above. I myself always put the frame in the corner of a room so as it will not go anywhere and tighten up the cone with a screw driver and hammer until the axle is tighter than it should be.
The lock ring tightens up against the BB which will loosen the axle enough for it to turn smoothly.
Cheers! Not condescending at all, welcome all advice! Tried tightening but don't have a tool thing that fits into the four holes in the face of the cup (it's BW cups and a BW No.15 axle) and there's still some thread spare after fitting the lock ring. Might be a trip to the LBS to borrow the 'spanner' thing.