Randolph Lycett (27 August 1886 – 9 February 1935) was a British tennis player.

In April 1924 he won the singles title at the inaugural British Hard Court Championships in Torquay defeating Christiaan van Lennep in the final in four sets.

[5] He played in three ties for the British Davis Cup team in 1921 and 1923 and compiled a record of six wins and three losses.

In the 1921 Wimbledon Quarter Final, Randolph Lycett played Zenzo Shimizu on a very hot day.

Lycett dropped his racket, and began to search for it on his hands and knees.