I2C not working on my first PCB design
From the ADXL345 datasheet: 


  The #CS pin should always be tied high to VDD I/O or be driven by an external controller because there is no default mode if the #CS pin is left unconnected.


Try to solder VCC manually to the IC if you have placed a pad that can be reached at all. Else, you'll probably need to find a more creative solution.