Didn't you see she were gorgeous
She were beyond belief
But this lad at the side drinking his Smirnoff Ice
Came and paid for her Tropical Reef

from Arctic Monkeys – Red Light Indicates Doors Are Secured Lyrics on Rap Genius

Alex goes back to the story and talks about how good looking she was. But someone else stole her from him by buying her a drink.

He’s drinking a Smirnoff Ice which is usually considered a feminine “girly” drink because of its high sugar and relatively low alcohol content. Alex is taking a dig at this guy by specifically mentioning what he was drinking.

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