My mum had this done over 40 years ago. I think hers was chin and upper lip. She seemed pleased enough with the results.
When I was seventeen, I had a few sessions of electrolysis, but the beauticians suggested waxing was better, as it was such a large area. It was thought at the time, the hair would eventually stop growing, and in the meantime, I had rid of all of them for around two months. They did stop growing mostly, when I was late twenties or so.
Then I bought an epilator which works the same as waxing, but for odd bits of growth here and there. I used to get the odd hair on my face, but the epilator saw them off.
My daughters now have laser removal kits at home, and are very pleased with the results.
I never reacted to any form of hair removal. Maybe on the day, but soon went. One of my daughters has to be careful, as her skin is more sensitive. Certainly no wrinkles.
Hope that helps.