The CLEO II detector at the e+e− storage ring CESR has been used to search for two-photon production of the fJ(2220) decaying into π+π−. No evidence for a signal is found in 4.77fb−1 of data and a 95% C.L. upper limit on [τγγBπ+π− ]fJ (2220) of 2.5 eV is set. If this result is combined with the BES Collaboration's measurement of fJ(2220)→π+π− in radiative J/Ψ decay and the recent CLEO result for [τγγBK0 SK0 S]fJ (2220), a 95% C.L. lower limit on the stickiness of 102 is obtained. This result for the stickiness provides further support for a substantial neutral parton content in the fJ(2220).