Answer
The lewis structure is shown in the picture.
Work Step by Step
$(CH_3)NH_2Cl$ can be drawn as $(CH_3)NH_2^+$ and $Cl^-$.
So draw $(CH_3)NH_2^+$ first by connecting two $CH_3$'s to N and then two H's to N. N has the positive charge because it has more than 4 bonds.
And then draw $Cl^-$.