I don't know how many people are familiar with Hink Pinks, so I'll try to explain.
 
Hink Pinks are a little like riddles.  You think of a question and a two word answer for it. The trick is that the answering words rhyme and have one syllable each. 
For instance, I might ask, "What do you call an angry boy?"
Answer- Mad Lad
 
A two syllable answer would be a Hinky Pinky, and a three syllable answer is a Hinkety Pinkety.
 
Hinky Pinky- What would you call a hog with hair extensions?
2 words with 2 syllables each to answer- Wiggy Piggy
 
Hinkety Pinkety- What is it called when you hold in your frustations?
2 words with 3 syllables each to answer- Restraining Complaining
 
I thought people could really show off their humor if this game can get going.
 
I'll start with an easy Hink Pink.  Next person post and answer and ask your own Hink Pink.  be sure to let us know if you have a longer answer in mind. Either label it as Hinky Pinky or Hinkety Pinkety, or put 2 syllable or 3 syllable answers needed (something like that).
 
Again, I'm starting with a Hink Pink.
 
Here we go...What do you call an obese feline?

Fat Cat, lol
 
Here's a Hinkety Pinkety: The White House
 
Funny and cool game joeswife- I like :)

Westly,
I think that would be a sink link.
 
PinkMinx,
I believe that would be the President's Residence.
 
Thanks for playing. I'm glad you like it!
 
 
Another easy Hink Pink:
What do you call a rodent's abode?

a mouse house?
 
What are clean underwear? hehe
 
 

I'm guessing Tighty Whities. :0
 
 
Hinky Pinky:
What do you call a primated who loves cool music?

I'm guessing that would be a Funky Monkey
 
(I hope this one works)
 
 
What do you call a hip father?

Good job!  Hi DinerFan!
 
Would that be a Rad Dad?
 
 
What do you call a matress covered in tomato sauce?

Uh, a Red Bed?
 
 
Hinky Pinky
 
 
What do you call a tired cry?

Hmm...Sleepy Weepy? Not sure.
 
 
Hinky Pinky
What do you call a cool film about hippies?