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In the seminal paper [Arch. Ration. Mech. Anal. 176 (2005), 351--361],  Savin proved the $C^1$-regularity of planar $\infty$-harmonic functions $u$.Here we give a new understanding of it from a capacity viewpoint and dropseveral high technique arguments therein. Our argument is essentially based ona topological lemma of Savin, a flat estimate by Evans and Smart, %\cite{es11a},  $W^{1,2}_{loc}$-regularity of $|Du|$ and Crandall's flow for infinityharmonic functions.

C^1-Regularity of planar \infty-harmonic functions - REVISIT