You cannot print it directly from LW. I guess you'd need to save the playlist, then open it in another audio program that can print playlists.
* Correction. I just saved a playlist & opened it with a text program on my mac. So find a text program such as notepad or a more advanced one & open the file with it, then edit out the information you don't want, then print it.
This is what it looked like (file was called limewire2.m3u & some of the songs were named as numbers by me):
#EXTM3U
#EXTINF:145,01-*******.mp3
/Volumes/Video art 2/Limewire Downloads/01-*******.mp3
#EXTINF:746,1.mp3
/Volumes/Video art 2/Limewire Downloads/1.mp3
#EXTINF:946,2.mp3
/Volumes/Video art 2/Limewire Downloads/2.mp3
#EXTINF:457,3.mp3
/Volumes/Video art 2/Limewire Downloads/3.mp3
#EXTINF:994,4.mp3
/Volumes/Video art 2/Limewire Downloads/4.mp3
#EXTINF:367,5.mp3
/Volumes/Video art 2/Limewire Downloads/5.mp3
#EXTINF:446,6.mp3
/Volumes/Video art 2/Limewire Downloads/6.mp3
#EXTINF:1118,7.mp3
/Volumes/Video art 2/Limewire Downloads/7.mp3