I'm not sure this is a legitimate claim, but Damascus has been one of the most conquered cities in world histories. Since its inception in 7000 BCE the city has continually existed and changed hands multiple times. Somebody may prove me wrong, but I think it can give any other city "a run for its money." I highly recommend the book "Damascus: A History," by Ross Burns. It goes through the many millenniums of the city's rule. It is my source for many of this information.
Essentially, the city has been conquered from its inception in 7000 BCE to 1941, and not to break the 20 year rule, but it is being fought over to this day.
Specifically, in the time of the crusades, 1140, the city was taken by the ruling sultans, Imad al-Din Zeng,"Mameluke," basically the term for slave soldier, Mu'in al-Din Unur. This "Mameluke" conquered the city, and his former master, Imad al-Din Zeng laid siege to Damascus. Imad al-Din Zeng proved unable to retake the city was soon driven off, but the city was constantly under threat from christian crusaders. When Mu'in al-Din Unur died in 1149, his brother conquered the city. So, for example, in a 10 year period from 1140 to 1150 the city was conquered twice.
My source for this case study is still "Damascus: A History" by Ross Burns.
Going off of the book, and from the internet:
As a general reminder for this question, please look to the rules on what constitutes an acceptable/good answer in /r/AskHistorians
A good answer will go further than a simple short sentence.
Simply naming a city and/or linking to a tertiary source in a one-line answer is not an acceptable answer.