Lockers at Shinshimashima Station?

Does anyone know if the station新島島（しんしましま）駅 has locker?

Yes, there seem to be 10 small, 3 medium and 2 large lockers:
http://www.i-turn.jp/shin-shimashima-matsuden.html

Thanks Uji San.

Do you think it will be risky to put the luggage there as the number of lockers are so limited?

I am not familiar with the dynamics of locker use at the specific station. But I think there is little reason for people to keep their luggage there. Almost all people just transfer to a bus at the station and won't store luggage there. They would rather take the luggage with them to their final destination or store it in Matsumoto.

Also, usually the number of lockers is calculated to be sufficient for most days (except possibly the few most busy days of the year).

So, I think you won't have a problem storing your luggage there, especially on regular weekdays, but, of course, I can't guarantee it.

Thanks for the reply.
I agree with your conclusion.
I will risk to have the luggage store there.