Posted by Martin Kyte on 02/04/2020 22:30:41:
Easy enough to make in the lathe short stub of steel, carefully drill a suitable sized hole down the middle ensuring the drill is started exactly central. turn the out side at the same setting. Hold the 2mm drill in the tailstock to ensure alignment and loctite the two together.
But this assumes that he has not only a lathe but a means to hold the 2mm drill to make the hole in the sleeve.
And the problem we are trying to solve is how to hold a 2mm drill in the first place…
ArcEuroTrade are currently shut so suggestions to buy from there are rather pointless.
Drill chucks with straight shanks are surprisingly difficult to find, and even more so in small sizes. Many chucks, many straight shank arbors but the two together are thin on the ground.
The pin chuck is a good idea, the most important part of which is that it has a straight, short shank. There are many things (wrongly) described both as pin chucks or pin vices, a lot of which have long, knurled shanks.
Given the OP says he is new to the game, a little appreciation of his situation and links saying 'buy this, it will solve your problem' would be more helpful.