My DC aren't old enough to take part but I think, on balance, yes I would. This is not an experimental vaccine, it's a vaccine that has been licensed for use in adults by various regulatory bodies around the world.
I'd need to know all of the information so I could properly assess the risk/benefits but I think it's likely that the risks are small and ultimately we want children to be vaccinated against covid. Someone has to be first!
I volunteered for the adult trials but wasn't selected.
Interestingly, Sarah Gilbert's (adult) triplet DC were in one of the earliest trials for the Oxford vaccine.