Gauging $R$-Symmetry

I know that if one gauges the supersymmetry group, you get supergravity. You can then further gauge the $$R$$-symmetry and these are the so-called gauged supergravities. But I don't think I've seen anyone gauge the $$R$$-symmetry in a theory with global supersymmetry (ie, just a supersymmetric field theory but not supergravity). So my question is: Can this be done? If not, what is the problem with only gauging the $$R$$-symmetry?

Late answer, but the $$U(1)$$ R-symmetry cannot be gauged in global SUSY. This can be seen from the fact that it rotates the fermionic coordinates $$\theta$$, which are independent of spacetime coordinates in global SUSY. If you gauge the R-symmetry, the transformation of $$\theta$$ becomes local, and $$\theta$$ becomes spacetime dependent -- this means you have curved superspace, i.e. supergravity.