We analyze observational constraints on the effective Brans-Dicke parameter
and on the temporal variation of the effective gravitational constant with
in the context of the oscillating G model, a cosmological model based on a
massive scalar field nonminimally coupled to gravity. We show that these lo
cal constraints cannot be satisfied simultaneously once the values of the f
ree parameters entering the model become fixed by the global attributes of
our Universe. In particular, we show that the lower observational bound for
the effective Brans-Dicke parameter and the upper bound of the variation o
f the effective gravitational constant lead to a specific value of the osci
llation amplitude which lies well below the value required to explain the p
eriodicity of 128h(-1) Mpc in the galaxy distribution observed in the penci
l beam surveys.