Don't you cry tonight! ;)
Is it just me or does the "cz" part sound kind of cut off at the end?
It does sound that way, but I think the cz sound is just naturally a shorter consonant sound than ć.
Two years later, but I agree. But when I hover over the actual word "płacz" (as opposed to clicking the blue speaker icon), it sounds much better.
Russian: Nie plać.
не плач, девчонка, пройдут дожди
солдат вернётся, ты только жди