Justintime

4 clues
A hit song of 1956
News (fair) magazine?
At the last possible moment
I was worried you weren't showing up!
Similar answers:
Acertainjustice
Actiontime
Adjustinagency
Adjustincase
Adjusting
Adjustinpowers
Alwaysontime
Andjusticeforal
Andjusticeforall
Antimealplan
Askitchintime
Astitchintime
Atnopointintime
Awrinkleintimeandagain
Betweentimes
Bringstojustice
Bringtojustice
Centime
Centimes
Centimeter