What is the right way to query an I2C device from an interrupt service routine?
Just because a pin is called "interrupt" doesn't mean that you have to read it using an interrupt input.  The INTx pins of the ADXL345 are simple "level" outputs.  All the time there is an "interrupt" pending (a signal from the ADXL345 that something has happened) the corresponding INT pin is held LOW.  It remains LOW until the interrupt has been handled by your code.

It's not something that is very brief - it's something that persists as long as you need it to.

You can just read the INTx pins with normal digitalRead() from within your loop() function (polling). Unless you really need to respond right now to an event on the ADXL345 there is no need to use an interrupt input.