The updated version of the yellow duck thread!
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The method shown (with screenshots) is to buy the yellow rubber duck as a gift for a friend for 250 coins (who can then gift it back to you if you arrange this with them)!
The same method also works to buy the star spangled bangle as a gift for a friend for 5000 coins (who can then gift it back to you if you arrange this with them)! Everywhere you see ‘yellow duck’ read ‘star spangled bangle’, and everywhere you see ‘250 coins’ read ‘5000 coins’ for the star spangled bangle!
The same method also works to buy the sad sack shirt as a gift for a friend for 150 coins (who can then gift it back to you if you arrange this with them)!
*** My instructions with screenshots:
Go to a friend’s profile and click their profile picture. You will be taken to a link that looks something like:
http://www.facebook.com/album.php?profile=1&id=123456789101112
Copy the number that appears after the “id=” in that link and paste it in place of the xxxxs in:
http://apps.facebook.com/petsociety/?pf_giftRecipientId=xxxxxxxx
For example:
http://apps.facebook.com/petsociety/?pf_giftRecipientId=123456789101112
Use this new link to load the game.
Wait for Pet Society to load:

Select the Yellow Duck and click it:

Make sure the duck appears in the top left hand corner (to show what you are gifting), write your message, then click the green tick:

The duck will send and deduct 250 coins from your balance (see top left hand corner of the following):

After it has been sent, you will find yourself in their house, and be able to see the gift you just gave:

Then you need to have your friend log in, open the gift, and gift it back to you normally.
*** Important notes:
You are buying the duck from the shop for 250 coins as a gift for your friend! So this is a new duck being brought into the system, but to actually get the duck, you need your friend to be willing to gift the duck back to you!
You must enter the game using a friend’s Facebook ID number in the link, not your own, as you cannot gift yourself! 
*** I hope this helps you all!