Some Dance Teachers focus on various Club Dances and develop those dances, dancers, dance events, and communities.
The difference between "Ballroom" dances and "Club" dances is not particularly important but it can be useful. "Ballroom" dances are those which are mostly done in a "Ballroom" setting as contrasted to those done mostly or previously-mostly in a "Nightclub" setting.
"Club" dances generally include, in no particular order: Country-Western, West Coast Swing, Hustle, Lindy, Steppin', and others. Salsa is also generally a "Club" dance.
Another, not particularly rigid or important, distinction between what has come to be distinguished most generally between "Ballroom" and "Club" dances is that the latter are seen as having been created and developed by dancers and 'people' as contrasted to the "dance masters". In today's dance scene these kinds of distinctions are effectively irrelevant.
In general, most "Club Dances" can be found in nightclubs and many "Ballroom Dances" (Foxtrot, Waltz, etc) can't. Of course this is the situation "today"; there was a day when Ballroom Dances were the primary dances in Nightclubs, for example the "Trot" dances, including the Foxtrot of Harry Fox, were invented in Nightclubs.