Alex Leone wrote a library for the TLC5940 16 channel LED PWM driver for the AVR-based Arduinos (https://code.google.com/p/tlc5940arduino/). However, since running the TLC5940 well requires delving into lower-level parts of the hardware like timer counters and interrupts, this library isn't immediately adaptable to the Due's ARM Cortex M3 microcontroller.
I've started a TLC5940 library that makes use of the features offered by the ARM processor. At least for now, this library doesn't offer all the fancy features that Alex Leone's library has (e.g. animations, fades, PROGMEM storage, etc.) because I didn't need those features. I have my own libraries for describing and running lightshows.
Since other people in the community might be interested, I created a Googly Code project for it: https://code.google.com/p/arduino-due-tlc5940/.
Hopefully some will find this useful. ;)