Site gloves ?
They aren't up to much.
Except for a couple of times a year when I used to wear ski gloves, I'm still wearing Aldi "summer" gloves from maybe 10 years ago when they actually fitted my monster hands ...- not significantly waterproof, but fine if it isn't hypothermia weather.
It's not nice putting on wet gloves for the return journey so if you can't dry them (as I could on the radiator at work - or more recently hung up in front of a fan in the store room...), maybe have a second pair...
On a long summer cycle ride, I've been known to get drenched but still be fine with modern polyester materials ...