It's still a good idea to remove any flux residue. I have enough rolls of
leaded solder to last several lifetimes, so I know what's in my flux.
The flux in the newer RoHS solders may be more aggressive due to
the decreased 'wetting' ability of the new formulations.
I also use a flux pen on some particularly difficult-to-solder areas.
It is prone to dumping excessive flux on occasion, so I also remove
the flux for aesthetic reasons.
I use MG Chemical's lower-strength flux remover and a boar bristle
brush for cleaning. Alcohol and a (new) toothbrush should work
just as well. Be sure to get 90+% alcohol - the typical 70% stuff is
diluted with water, and you don't want to sit around waiting for the
water to evaporate.