The overseas animation studio which produced this episode (perhaps not realizing that Scarface was made of wood) articulated the puppet far more than was necessary. His facial features move far more than any ventriloquist dummy's possibly could.
Scarface makes reference to Tweety's famous line "I tawt I taw a putty tat".
This episode includes a stuffed animal known as a Tasmanian Tiger. While this animal may seem to be of interest to somebody like Catwoman, the Tasmanian Tiger, or Thylacine, was not actually a tiger or even a cat. It's an extinct, carnivorous marsupial more closely related to the Tasmanian Devil. It was sometimes referred to as a tiger because of its carnivorous nature and the typical stripes running laterally across the rear portion of the body. The last known surviving specimen died in captivity in 1936.
Selina refers to herself as "the cat who walked by herself." This is a reference to 'The Cat That Walked By Himself,' from Rudyard Kipling's 'Just So Stories.'
Catwoman's line "the lady or the tiger" is a reference to Frank R. Stockton's The Lady, or the Tiger?. It was also used by Catwoman in The Purr-fect Crime (1966).