At level 33 Lickitung learns Rollout. That move is required for it to evolve into Lickilicky, eventually at level up, it should evolve into Lickilicky.
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In SoulSilver, Lickitung will evolve into Lickilicky once it levels up while it knows the Rollout move. In SoulSilver, Lickitung learns Rollout at Level 33.
Lickitung evolves into Lickilicky when it learns Rollout at level 33.
You can't on leafgreen.
To evolve Lickitung, you'll have to teach it Rollout, and level it up. It will then evolve into Lickilicky.
It can evolve anytime after it learns the attack "Rollout".