袖の振り合わせも他生の縁
ふでのふりあわせもたしょうのえん
even accidentally touching sleeves with a passing stranger is caused by fate
袖すり合うも他生の縁 is read as そですりあうもたしょうのえん (sodesuriaumotashou no en) and means a meeting by chance is preordained.
そですりあうもたしょうのえん
sodesuriaumotashou no en
ふでのふりあわせもたしょうのえん
even accidentally touching sleeves with a passing stranger is caused by fate