No, not double dribble nor any other dribbling violation.
As you described it, legal.
Additionally if you are a coach, I advise you to obtain a rule book and read it. Pay special attention to what is a travel, backcourt violation, double dribble, and legal guarding position.
Edit: Also tell your referee friend that he/she should review double dribble at the least and probably should review the rules in the list I gave you.
[Edited by SamIAm on Mar 31st, 2005 at 11:02 AM]