Climbing over Chichester

Hi everybody! It happens that I'll be following a course in Chichester from June, 24th till July, 21th and I'd appreciate very much your replies giving me some information about climbing over there. I can imagine that it is not the best place for climbing in Great Britain, but I can't change the destination anyway... I've heard there are some spots close to there to practice deep water soloing, but I'm not sure. May you please enlighten me? Maybe, any climbing gym? Thanks very much in advance!