If you do decide to change chucks Chester do a 3 Jaw with integrated 5C mount for around £160.00. May be other suppliers but my Google Fu is down this morning.
Bought similar one, maybe from Chester, around 20 years ago to go with a spindexer and other 5C equipment I was tooling up with. Memory says it was less costly in those days. About the same as the spindexer itself. Chinese import chuck but quite respectable quality and accuracy. Its no griptru but I'm happy enough to slot it into the 5C native spindle on my Smart & Brown 1024 when I have a job that needs a small chuck.
If, like me, you have the full x 1/64 ths 5C set there is always a collet available when you need accuracy so griptru precision is probably wasted.
Thanks to Jason for highlighting the ARC arbors as I really need to get round to mounting up a small four jaw too.
Clive.