Do you clean your child's ears/have them cleaned if there is a build up of wax?

I haven't ever cleaned DD's as I've always thought they were self cleaning and my GP has always backed this up. The thought of doing damage is just a little too scary for me to even think about attempting it, and as far as I'm aware that's the general recommendation anyways. DD does have a problem with recurring ear infections and has had glue ear in the past, however her speech is developing normally. Never have they suggested either having them cleaned by the GP or an ENT, or us doing it ourselves.

On the weekend DD was quite sick and hospitalised, and both the ED doc and the Pediatrician on the ward commented that her ears were full of wax and they couldn't see her ear canal. Neither said anything more, but I do think there were much bigger issues for them to worry about so it was quickly forgotten. My brain was pretty frazzled at the time too so I didn't think to ask about it after.

Now I've had time to think I'm wondering if maybe once DD is fully well again I should check with my GP if they need to be cleaned? What does everyone else do with waxy ears?