In CDF we have observed exclusive processes gamma gamma --> e+ e- and mu+ mu-, gamma + IP --> J/psi, psi(2S) and IP + IP --> chi(c). The cross sections agree with QED, HERA photoproduction data, and theoretical estimates of gg --> chi(c) with another gluon exchanged to screen the color. This observation of exclusive chi(c), together with earlier observations of exclusive dijets and exclusive gamma gamma candidates, support some theoretical predictions for p + p --> p + SMH + p at the LHC. Exclusive dileptons offer the best means of precisely calibrating forward proton spectrometers.