5th slave voyage (1794–1795): War with France had broken out while "Duke of Buccleugh" was at Kingston on her fourth voyage. Before she set out on her fifth voyage, Captain McLean acquired a letter of marque on 16 June 1794. He sailed from London on 15 July. "Duke of Buccleugh"started gathering slaves at Bance Island on 15 January 1795 and sailed from Africa on 29 January. On her way she repelled an attack by a French privateer. She arrived at Kingston on 13 March. She had embarked 373 slaves and she arrived with 365. She arrived back at London on 18 August.