As the title suggests, many options exist. Oceancliff bouldering similar to the Nubble, be creative.
The rock here is striated and broken yet grippy and featured. If you're looking for a testpiece this isn't the place. Many fourth class options and a few harder lines, a beautiful detour enroute to Camden or Acadia; or a good place to spend a few hours if you're in the area.
There are a few problems around the lighthouse which are best visited after hours. Otherwise, park at the restaurant and walk left along the ocean, climbing whatever tickles your fancy. Approach shoes are great.