Perhaps you could re-machine the body to take inserted guides for the jaws to run on. My "best" three jaw chuck, a 160 mm PB precision, is made in this manner with square section steel strips for the jaw guides. Presumably to allow replacement if wear occurs. As I recall matters I paid approaching £400 for the brand new chuck some 20 years back so ought to have been of decent quality. The very nice, near unworn (but hideously painted in a sort of purple so hideous that no camera would capture an accurate likeness!) late model SouthBend Heavy 10 it was intended for set me back around £500 which I considered a fairly reasonable division of expenditure. Decent work holding is the foundation of good work. Life is too short to struggle with crappy chucks.
If the scroll is intended to run on a central boss in the body it is possible to re-machine the boss and fit a cylindrical insert of appropriate thickness to take up the clearance. Have done similar many years back on the almost as bad chuck that came with my Portass S (two pints and a packet of smoke to you sir) which worked in so far as it made things better but frankly the whole thing, lathe included, wasn't worth the effort. Although I eventually made 4 pints profit during trading up to a Pools Special.
A Griptru is usually a decent chuck so if you have nice new jaws it may well be worth expending time and effort on it.
Clive.