Until it closed in 2015, Shropshire's highest public house, at 1,300 feet (400 m), was The Kremlin[3] (previously the Craven Arms),[4] located on the upper slopes of the village.

There is a public car park by the A4117, which affords a considerable view over the Teme valley below and further into the counties of Herefordshire and Worcestershire.

The road reaches an elevation of 1,250 feet (380 m) as it passes Titterstone Clee Hill just to the east of the village, and is often affected by snow in winter.

Although Cleehill has an oceanic climate like the rest of the U.K., it is slightly different to surrounding areas in certain months of the year and snowfall is more common in winter because of the high elevation.

Compared with the nearest Met Office weather station of Shobdon, Cleehill has colder maximum temperatures year-round, however minimum temperatures are warmer every month of the year except March and April, probably because of the reduced amount of sunshine the village receives compared to nearby areas.