Grumpy_Mike:
You need a base resistor in that PNP transistor.The outputs of the TLC5940 are sink only. Therefore you need a pull up resistor to 5V.
I would also make R1 between 1K and 10K.
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Isn't the TLC constant current out? You could set that to 1mA or so.
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Could add a 10k bleed resistor to VCC. Needed? See TLC datasheet for output off leak current.
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That would make PWM/switching slower. Wouldn't go more than 1k.
Leo..