Orren \o(r)-ren\ as a boy's name is a variant of Oran (Aramaic, Irish, Gaelic), Oren (Hebrew, Irish, Gaelic) and Orrin (English), and the meaning of Orren is "light; pale; pine tree; fair, pale".
The baby name Orren sounds like Arren and Orran. Other similar baby names are Orrel and Orsen.