If you cheat a little, you can get to similarly low numbers in German:

"Zuviele Abschiede von ihr" - 8

"Ihre zuvielen Abschiede" - 8

"[Sie] verabschiedete sich zu oft" - 8-9

If you accept "trennen" ("separate") for "saying goodbye", you can do

"[Sie] trennte sich zu oft" - 5-6

If you accept "[weg]gehen" (go [away]) for "saying goodbye", you can also do "[Sie] ging zu oft [weg]" - 3-5

The "Sie" (she) is optional, but leaving it out sounds hurried and informal.

The literal translation also isn't very idiomatic imho, I'd rather expect to hear one of the latter ones if it was really about separations and going away, the former phrasing suggests more something of literally saying too many greetings.