The youngsters have left Stamford Bridge in search of first-team football, joining Crawley Town and Preston North End in League One on emergency loan deals until January
Midfielder Clifford, who was recently called up to the senior Republic of Ireland squad, made two appearances on loan for Portsmouth earlier this season, scoring once.
The 21-year-old is yet to feature for the first team at Stamford Bridge, and has previously enjoyed loan spells at Plymouth Argyle, Notts County and Yeovil Town.
Kane, on the other hand, has never been out on loan before, but the 19-year-old right-back has captained Chelsea’s Under-21 side this season, playing in every match and scoring once.
The England Under-19 international is also yet to feature for the Blues' first team.