So this has been discussed before.
DEET (especially the 80% strength) is pretty corrosive stuff, and can damage certain plastics like tent floors and technical apparel - including eating through zip lock bags etc.
I wanted to repackage a 100g tube of the stuff, because I use it very rarely but don't want to be caught out without it. Everything I read suggested the retail packaging has some special coating on the inside and people recommended against repackaging it, including the manufacturer.
I did lots of internet research and eventually found a website that said low density poly ethylene (LDPE) and even better high density poly ethylene (HDPE) is unaffected by DEET.
So I bought one of these in 15mL https://www.snowys.com.au/narrow-mouth-round-bottles after discovering these mini Nalgene bottles are actually made from HDPE.
I've stored about 5mL of DEET in one of these for 3 weeks with no damage to the bottle. I also took it on four airline flights, and the pressure changes did not cause any leaks (it was done up quite firmly).
I take no responsibility for damages arising, but it seems these bottles are a safe way to repackage DEET into smaller and lighter containers. Make sure you buy HDPE and you should be fine.