A B737-300 DURING PUSHBACK THE #1 ENG ROLLED BACK AND FLAMED OUT. ENG WAS RESTARTED AND HESITATED BTWN 50-60% WHEN ADVANCING THE PWR LEVER. ENG OPERATED NORMALLY ABOVE IDLE PWR.

Narrative

DURING PREFLT EXAMINATION OF ACFT LOG; I NOTICED MAINT HAD BEEN ON THE ACFT THE NIGHT BEFORE CHANGING A START SWITCH. I BRIEFLY MENTIONED THIS TO THE CAPT; BECAUSE SEVERAL SWITCHES WERE IN THE WRONG POS. HE ACKNOWLEDGED AND WE PROCEEDED TO OUR FIRST STOP. AFTER A BRIEF STOP WE BEGAN THE PUSHBACK AND THE #1 ENG SHUT DOWN ON ITS OWN. WE RESTARTED THE ENG AND CONTINUED ON. DURING THE CLBOUT I REMEMBERED THE WRITE-UP FROM THE NIGHT BEFORE AND REALIZED IT WAS THE SAME PROB. IN RETROSPECT WE SHOULD HAVE HAD MAINT LOOK AT THE ENG BEFORE WE CONTINUED ON. ON THIS FINAL LEG A CHK AIRMAN WAS LINE CHKING THE CAPT. I DIDN'T VOICE MY CONCERN BECAUSE OF 2 CHK AIRMEN IN COMMAND OF THE ACFT. I SHOULD HAVE VOICED MY CONCERN. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR STATED THE ACFT WAS A B737-300 WITH CFM 56-3B ENGS. THE RPTR SAID ON THE SECOND START AND WITH THE ENG HESITATING WHEN MOVING THE PWR LEVER OFF IDLE HE BECAME CONCERNED. THE RPTR SAID AFTER 1 ROLLBACK; FLAMEOUT AND THE HESITATION AT IDLE PWR; THE ENG OPERATED NORMALLY THE REMAINDER OF THE DAY.