Just requested 3x CLI on my Amex BCP & got approved ($6,000 from $2,000). For those looking to do the same here's what my credit profile & Amex history looks like. Account opened 70 days go, I paid my balance in full for the 2 billing cycles ( paid the last statement early so that it would post before I requested the increase). I'm not sure if this has anything to do with why Amex increased me but I charged pretty close to the $2,000 limit during the 1st billing cycle more than once but returned most of it before the cycle closed. I have high util on my other non-Amex CCs but no baddies. 3 inquiries on EX, 3 on EQ, & 2 on TU.
(Also got approved for 2 USAA cards yesterday so I'm pretty excited. Citi denied my request for a CLI but I was expecting that.)
Hope this info helps.
Congradulation! Take care of them and they will take care of you! I have been a member since 1984. There service is impecably Professional.