In slang, particularly British slang, “blower” most commonly refers to a telephone or a mobile phone. It’s a casual and informal term used to refer to the device itself or the act of talking on the phone, as in “I’m on the blower”.The term is also used in the phrase “on the blower” to mean “on the telephone”.
The origin of this slang term is believed to be rooted in the older technology of speaking tubes, which were early communication devices where people would blow into a tube to signal the other end.The “blower” was the device itself, and the act of blowing into it was how you’d initiate a conversation.