I know its hard at the start but keep at it.
I find it easier to wait untill you see the rise then throw your flies at the rise,hopefully to hit him in the eye or another method I seen guys using on Sheelin, is to hold the fly line and throw the fly rod like a spear at the fish and hopefully you will get him.
If that fails place your net into the water and bait it with a few flies, go for tea and hopefully the fish will swim into it. The traditional chalk stream guys dont like this method. But if it catches for you.