Frommers, on Limon . . . definately not terribly enthusiastic about this port:

Limón is not generally considered a tourist destination, and I don't recommend it except during Carnaval or as a brief logistical stop on your way to someplace else. Most travelers use it primarily as a gateway to Tortuguero to the north or the beaches of Cahuita and Puerto Viejo to the south.

If you do spend some time in Limón, you can take a seat in Parque Vargas along the seawall and watch the city's citizens go about their business. There are even some sloths living in the trees here -- maybe you'll spot them. Take a walk around town if you're interested in architecture. When banana shipments built this port, many local merchants erected elaborately decorated buildings, several of which have survived the city's many earthquakes. There's a certain charm in the town's fallen grace, drooping balconies, rotting woodwork, and chipped paint. Just be careful, particularly after dark and outside of the city center -- Limón has earned a reputation for frequent muggings and robberies.

If you want to get in some beach time while you're in Limón, hop in a taxi or a local bus and head north a few kilometers to Playa Bonita, a small public beach. Although the water isn't very clean and is usually too rough for swimming, the setting is much more attractive than downtown. This beach is popular with surfers.

Source: http://www.frommers.com/destinations/limon/3168010001.html

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