It's called "invisible reweaving" in the US. It used to be a routine service offered by dry cleaners, and a few places still offer it. Clothing is so cheap today it's rarely worth the trouble.
In 90s India, dry cleaners did dyeing and darning too. And puncture shops offered vulanisation and retreading bald tires. Now they are all but gone.
To digress, Now I'm looking at https://www.reddit.com/r/Visiblemending/ with interest. Seems Reddit environmentalism is endorsing long lasting clothing and keeping them alive longer.
Master tailors who create bespoke clothing and work with very expensive wool fabrics may still have a reweaver that they use. It's only economically sane if one is dealing with suits, for instance, that start beyond $2000.
The tailor who made my last two suits from will do it. I have not had reason to ask about pricing (yet).
They aren't cheap and I really like their work, but I don't think they're the sort of place that people travel to buy from. So I imagine other tailors offer it.
To digress, Now I'm looking at https://www.reddit.com/r/Visiblemending/ with interest. Seems Reddit environmentalism is endorsing long lasting clothing and keeping them alive longer.