Wiktionary
vb. (context transitive English) To put onto a reel; to completely reel.
Usage examples of "reel up".
However, after failing for a few minutes to convince Boday that decorative carvings and shaping of the edges into artistic forms was a luxury they couldn't afford and finally commanding her as a slave to obey, they managed with great difficulty to get the reel up onto the spindle, which sagged just a bit but seemed to hold.
Jamie spent half a lifetime winching the reel up to the rover's roof, then clomping down to the tail end of the vehicle and carefully climbing down onto the firm ground back there.
Even as I looked, the Fleet pilot tripped his let-go and the cables began to reel up.
But as I watched him reel up and down the room, grabbing at the furniture to keep from falling, my suspicions withered and blew away, along with several other preconceptions.
Chevette blinked out at the Five, the white line that seemed to reel up beneath the van.