Meaning of current in voltage regulator of power supply
You 5 V regulator has a maximum current limit (probably printed on it, and probably many 100's of mA), Your 3.3 V regulator is limited to 100 mA (if you go above this it will shutdown, but it will not fail). Your chip will have a VCC or VDD current specified in the datasheet.
Look at the device (chip) datasheet and ensure the current required is less than 100 mA under all operating conditions.
You should also put a capacitor on the output of the 3.3 V regulator, anything from .1 - 10 uf should do.