Are you using a Cypress FX3 DVK or do you have a custom/3rd party board?
Please check the voltages on the PMODE pins and ensure that it is set for USB boot (boot settings mentioned in the datasheet).
Please share your board design files (schematics in .pdf and layout in .brd format).
How many boards do you have? Do you see the same behavior on all of them?
I am using just the CYUSB3014 chip in my own design. In fact the design is referenced from a working prototype. I have one board as of now.
Please share your board design files (schematics in .pdf and layout in .brd format). You yourself can check if you are meeting the hardware design guidelines-please refer to "AN70707 - EZ-USB® FX3™/FX3S™ Hardware Design Guidelines and Schematic Checklist": http://www.cypress.com/documentation/application-notes/an70707-ez-usb-fx3-fx3s-hardware-design-guidelines-and-schematic
Will it be possible for you to share the USB hardware protocol trace when you connect the device to the PC (it will record the USB bus events)?