The thing about potatoes is they are great for conditioning the soil so you can plant fussier crops afterwards, and earthing them up is part of the process. As you lift the surronding soil it will be breaking down to make a ‘fine tilth’ (lovely term). Don’t worry about adding loads of compost, the spuds are fixing nitrogen in the soil as they grow. I always lift the soil from each side of the row to form trenches, this helps divert the rain down to the tubers as well. If it’s really wet, like now, soil doesn’t like being shifted too much, so it’s probably easier to wait until it gets more manageable, gardening shouldn’t be toilsome! One of the functions of earthing up is to keep all your tubers away from your light so they don’t turn green and inedible, that’s the main thing to keep an eye out for. We have sometimes used a layer of cardboard to help with this when earthing up has been impractical. Don’t worry too much about losing the odd leaf, they’re hardy things potatoes.
It’s also possible that they’re sending out long shoots in search of light if they don’t get any direct sun, they do appreciate a bit of sunshine and will get ‘leggy’ if they’re short of it. Mind you, this lovely rain has made everything explode hasn’t it! Hope that’s a bit of help and not just going through everything you already know, xx L