We present the discovery of a variable optical counterpart to the unidentified gamma-ray source 3FGL J0212.1+5320, and argue this is a new compact binary millisecond pulsar (MSP) candidate. We show 3FGL J0212.1+5320 hosts a semi-detached binary with a 0.86955$pm$0.00015 d orbital period and a F6-type companion star at an estimated distance of D=1.1$pm$0.2 kpc, with a radial velocity curve semi-amplitude K$_2$=214.1$pm$5.0 km s$^{-1}$ and a projected rotational velocity of Vsin(i)=73.2$pm$1.6 km s$^{-1}$. We find a hard X-ray source at the same location with a 0.5$-$10 keV luminosity L$_mathrm{X}$=2.6$times$10$^{32}$ (D/1.1 kpc)$^2$ erg s$^{-1}$, which strengthens the MSP identification. Our results imply a mass ratio q=M$_2$/M$_1$=0.26$^{+0.02}_{-0.03}$ if the companion star fills its Roche lobe, and q$gtrsim$0.26 in any case. This classifies 3FGL J0212.1+5320 as a redback binary MSP; if its MSP nature is confirmed, this will be the brightest compact binary MSP in the optical band (r$simeq$14.3 mag) and will have the longest orbital period among Galactic field systems (nearly 21 hr). Based on the light curve peak-to-peak amplitude ($Delta$r=0.19 mag), we further suggest that the orbital inclination is high and the putative pulsar mass is close to canonical (M$_1$$simeq$1.3$-$1.6 M$_odot$). Finally, we discuss the lack of heating signatures and asymmetric optical light curves in the context of other redback MSPs.
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