When Robin is trapped, Catwoman has an hour glass and shows him how much longer time is gonna pass. This is a reference to The Wizard of Oz, where The Wicked Witch of the West also has an hour glass and shows Dorothy how much longer she's got to be alive.
Catwoman's line about "pussy willows galore" is a reference to Pussy Galore, a character in Goldfinger, which was released a little over a year before this episode aired.