Your bike must have a canister on the muffler mount to catch the fuel vapors from the tank.....the hose that is broken is the vent hose to the fuel tank. You need to replace the hose.

If you are talking about the little spring clip that connects the needle to the float.....I believe you need to get another one.  It provides a way that the float can pull the needle down from the seat when the float level drops.  I am not sure the bike would run well without it.....the needle could get stuck and not allow fuel to flow.  You most likely will have to order a new needle/seat...and it should come with a new clip.