Now it was my mother's turn to sigh.o

"Look," I said, to cheer her up. "I'm thinking about shaving the moustache off." Even though I wasn't for a long time. Another discovery: You can build a way of life on postponement.
"Your grandmother probably won't even recognize you," she said. And I saw the shadow fall across her face.
In 1-2 sentences, explain the meaning of postponement in the excerpt, and tell which words provide the clearest context clue for the word.

The meaning of postponement in this excerpt is the act of delaying or putting off something. The clearest context clue for the word is "Even though I wasn't for a long time" which implies that the narrator was considering shaving the mustache off but hadn't done it yet.