The shutter-speed app I have (Shutter Speed by Lukas Fritz; linked to above) works well on speeds up to 1/60th sec or so with sound. With the photo sensor available on eBay it should be accurate for higher speeds as well.
In sound mode you measure the time between shutter opening and closing sound peaks. With the photo sensor, the actual light is measured. Neither of these take into account the slight drop in transmission from the shutter opening and closing at larger apertures, but neither do most shutter speed testers.
I shoot at f/22 or smaller and at relatively slow speeds, so for me, the times I get with the app to be well within usable parameters.
Best,
Doremus