I did this on a couple of Jacobs chucks, I was fortunate to find the appropriate Jacobs repair kits. The procedure is laid out in T D Walshaw’s (Tubal Cain) book on twist drills in the Model Engineering series.
BEWARE! I followed the description to the letter. When the chucks were reassembled, I found they would not tighten!! Careful examination showed that the outer (scalloped )sleeves had split form top to bottom! I had taken great care in the pressing operations, making up any required tooling. So NOT a bodged job!
I had to make two oversized sleeves, which I pressed over the split sleeves and all was well. They have given excellent service ever since. Am I the only one to have had this problem on not one but two chucks?
Andrew.