When you copy objects or images from InDesign CS3 to Illustrator CS3 or Flash CS3 nothing happens. This issue is specific to Leopard, Mac OS 10.5.x.
You can copy and paste selected text, rather than a selected text frame.
You can copy from Illustrator or Flash to InDesign.
You can copy from InDesign toPhotoshop.
Download the update from the Adobe website at http://www.adobe.com/downloads/updates/.
Some causes for this behavior was addressed in InDesign 5.0.2 update.
Adobe Illustrator appears to be unable to accept PDF data from an external copy/paste action until it has had to create PDF clip/paste data itself internally.