The title was created as "Clifford of Chudleigh" rather than simply "Clifford" to differentiate it from several other Clifford Baronies previously created for members of this ancient family, including the Barony of de Clifford (1299), which is extant but now held by a branch line of the Russell family, having inherited through several female lines.

The family seat is Ugbrooke Park, near Chudleigh, Devon.

Notable members of this branch of the Clifford family include antiquarian Arthur Clifford (grandson of the 3rd Baron), Victoria Cross recipient Sir Henry Hugh Clifford (son of the 7th Baron), Catholic clergyman William Clifford (son of the 7th Baron) and colonial administrators Sir Bede Clifford (son of the 10th Baron) and Sir Hugh Clifford (grandson of the 7th Baron).

The family is also related to the notable recusant Weld family, of Lulworth Castle, through the 7th Baron's marriage to the daughter of Cardinal Thomas Weld.

The heir apparent is the present holder's son Hon.