First recorded by The Nerves (1976).
Hit version by Blondie (UK #5/IRE #18/AUS #39 1978).
From the wiki: “‘Hanging on the Telephone’ was written by Jack Lee (‘Come Back and Stay’, 1983) and first performed by his short-lived US West Coast Power Pop trio, The Nerves (which included Paul Collins, later of The Beat). The song was the lead-off track on The Nerves’s 1976 EP, the group’s only release (until the 2008 compilation, One Way Ticket, thirty years after the group disbanded).
“New Wave band Blondie later popularized ‘Hanging on the Telephone’ when it released a cover as the second single off Parallel Lines in both the US and UK in 1978. The single failed to chart in the US (except as an album track at album-oriented radio stations) but charted Top-5 in the UK; charting elsewhere, too, in Europe and Australia.”
Blondie, “Hanging on the Telephone” (1978):