  In this work, we propose that detecting the polarization information of
$\chi_{cJ}\to \phi\phi~(J=0,1,2)$ can be as good test of the role of hadronic
loop effect on these decays. Our results shows that the obtained ratios of
helicity amplitudes are quite stable, which are $|F_{1,1}^{(0)}/F_{0,0}^{(0)}|
\approx 0.359$, $|F_{1,0}^{(1)}/F_{0,1}^{(1)}| =1$,
$|F_{1,1}^{(1)}/F_{0,1}^{(1)}| =0$,
$|F^{(2)}_{1,0}|/|F^{(2)}_{0,0}|=|F^{(2)}_{0,1}|/|F^{(2)}_{0,0}| \approx
1.285,~|F^{(2)}_{1,-1}|/|F^{(2)}_{0,0}|=|F^{(2)}_{-1,1}|/|F^{(2)}_{0,0}|
\approx 5.110$ and
$|F^{(2)}_{-1,-1}|/|F^{(2)}_{0,0}|=|F^{(2)}_{1,1}|/|F^{(2)}_{0,0}| \approx
0.465$. By adopting these predicted ratios, we further generate Monte-Carlo
events of moments $\langle t_{ij} \rangle$, which are directly related to the
determination of helicity amplitudes. We suggest further experiments like
BESIII and Belle II to perform an analysis on the polarizations of the
$\chi_{cJ}\to \phi\phi$ process in the future, which is important to understand
the underlying decay mechanism existing in $\chi_{cJ}$ decays.
