The following will return the number of milliseconds since the UNIX Epoch:
SELECT(strftime('%s','now')- strftime('%S','now')+ strftime('%f','now'))*1000AS ticks
It works by grabbing the number of seconds since the Unix Epoch (%s), subtracting the number of seconds in the current time (%S), adding the number of seconds with decimal places (%f), and multiplying the result by 1000 to convert from seconds to milliseconds.
The subtraction and addition are to add precision to the value without skewing the result. As stated in the SQLite Documentation, all uses of 'now' within the same step will return the same value.