Your A10 will bottleneck the 1060, so you should be ok. You won't run into vram issues.
However, I highly highly recommend you go with a RX 480 4GB. Currently the 3GB frame buffer isn't enough for most games, even at 1080P. Plus the RX 480 4GB is cheaper.
So if you get a more powerful CPU in the future, the RX 480 4GB will give you better performance overall.