Cross rhyme usually means a rhyme that links the end of one line with a word in the middle of the next line, or sometimes the line before it. It creates a sideways, interlocking sound pattern rather than a rhyme that falls neatly at the ends of lines. Some writers also use the term for alternating end rhyme, so the usage can vary.
Example
I walked till night, when bright lamps woke the street,
and every shadow stirred beneath my feet.