chess clock handicaps if one deems it necessary. For chess it isn't really needed. It's most pronounced at the beginner level where certain openings have a high chance of beating an opponent who hasn't learned to counter them.

I also like bidding systems. Bid some in game resource for the right to go first. On ties, pick at random. If the game is popular the meta will converge on a fair bid to null out the advantage, and may evolve over time. Twilight Struggle is a great 1v1 board game that settled on this.