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Longman Dictionary of Contemporary English
table lamp
noun
EXAMPLES FROM CORPUS
▪ He had asked the questions at every interrogation but always from behind the sanctuary of a powerful table lamp.
▪ I sat down and he turned on a table lamp.
▪ She could put it beside the wooden table lamp on the cupboard by the door.
▪ She reached over and turned on a table lamp.
▪ The lacquered fibreboard coffee table above costs £20, the metal and glass table lamp £17.70.
▪ The room was half dark; only the little table lamp was on beside the bed, with its orange parchment shade.
▪ This doctor had no projector, no screen, but had a table lamp to which I could hold up the slides.
Wiktionary
table lamp

n. a lamp designed to be used on tables

WordNet
table lamp

n. a lamp that sits on a table