Can't you just tell him to roll the sleeves up?
My mum used to turn long sleeves into short sleeves when the cuffs frayed, and turned the collars over and sewed them back on when they frayed. But she's a bit frugal like that. Most of the shirts came from the jumble sale in the first place.
some relly was heard to lament that now shirts didn't have tails you couldn't cup a bit from the tail to refurbish the more visible part of the shirt.
there's sides to middle on sheets too. afaict I am the only person who still bothers. Never summoned the enthusiasm for end to middle though.
to the OP, though possibly irrelevant: I have on occasion shortened sleeves, by taking a tuck mid upper arm. as sleeves are tapered I then have to tweak the seam down the sleeve so the top is the same width as below the tuck. You could of course shorten the sleeves to fit you.
I'd agree with the comment about the hemming though. I had to triple stitch something child-sized I once altered to match the rest of the garment.
Men's 'short sleeves' (almost down to the elbow crease) are MUCH longer than women's short sleeves (mid-biceps).
much to my disgust as I prefer to cover my upper arm ha ha ha
'naked below the elbow' for healthcare settings is so you can wash properly etc.