"All I can say is that one is for you," said the junior Daley. "I knew you would be watching on TV and I had to do it for you."
Earlier on Wednesday, Australia's Sharleen Stratton scored 376 points on her way to gold in the women's 3m springboard final.
Stratton, who turned 23 last week, beat Canada's Jennifer Abel to the title, with fellow Australian Jaele Patrick taking bronze.
English duo Rebecca Gallantree (313.29) and 13-year-old Alicia Blagg (243.30) finished fifth and 10th respectively - Gallantree third top-six finish of the Games - while Scotland's Grace Reid scored 303.15 to place sixth.
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