Understanding the time-dependent mechanical behaviour of unreinforced masonry structures under sustained loads is important for preserving existing buildings and architectural heritage. Specifically, creep can create changes in stress distribution and lead to damage propagation and structural instability. The collapses of the San Marco Bell Tower in Venice, Italy (1902), the Civic Tower in Pavia, Italy (1989), and the Maagden Tower in Zichem, Belgium (2006) have been attributed to creep-induced damage. To mitigate the potential failure risk due to creep, the behaviour of masonry under long-term sustained loading needs to be fully understood. However, the experimental database for creep in masonry and its components remains relatively limited. To this end, the present study explores the creep behaviour of clay brick units and lime mortar specimens using accelerated creep tests. Strain-time history curves are acquired using commercial 2D digital image correlation (DIC) techniques, and acoustic emission (AE) monitoring is employed to track the propagation of internal micro-cracks. The DIC and AE results are used to identify the primary, secondary, and tertiary stages of creep. The results expand the experimental literature by considering creep in masonry components and providing new insight into their contribution to the overall creep behaviour of masonry.