The grounds around Motel El Cornito (about 6km outside town) are bamboo woods which offer a welcome, shady diversion from the scorching city bustle. You'll find ranchón -style restaurants (favoring the usual booming reggaetón music), the site of the old farmhouse of great Las Tunas poet Juan Cristóbal Nápoles Fajardo (aka El Cucalambé) and a reservoir where you can swim.
Back toward the main road, there's a zoo, a fun park and a motocross circuit. A taxi here costs CUC$5 to CUC$7 return.