One elderly woman who took gingko after a stroke developed dizziness and low blood pressure. She told me that, even though she completely stopped the gingko immediately, it took 10 days for the side effect to go away. I am unaware of adverse interactions with SSRIs or other anti-depressants. If anecdotes are of any value, my husband takes gingko along with bupropion for ADD and has never had a problem. It is now standard to tell people who think are having a heart attack to immediately call the paramedics and then take one aspirin.
Doctors also tell people who are at risk of heart attack to take one baby aspirin a day.
I have been unable to find out how the anti-clotting effects of gingko compare to those of aspirin. There is debate among pharmacognosy researchers and the scientifc end of medical herbalism community about whether gingko can increase the risk of hemorrhagic strokes. There have been a couple of anecdotal reports of hemorrhagic stroke from herbalists on the phytopharmacognosy list, but we don't know for sure if they're related to gingko or not. Many people who take gingko are elderly, and so already at increased risk of stroke. I think the risk of stroke from gingko, if any, is pretty small.