How to test a ir2110?
The IR2110 uses bootstrapping to create the supply for the high-side MOSFET so the high side driver won't work without both the low side MOSFET and a supply voltage in the 12V range (up to the hundreds of volts it is rated for). 

You should be able to see the low side driver work without the MOSFETs, but it doesn't look like you have anything connected there. 

When you have the two MOSFETs you have to drive the bridge low periodically to refresh the charge on C2 ('high' duty cycle cannot be 100%) otherwise there is no way to drive the gate of the high-side MOSFET above the positive rail.