The phrase "wavering attention" is correct and can be used in written English.
You can use it when someone is not paying full attention to something due to outside distractions. For example, "With the loud noises outside, John's wavering attention made it difficult to concentrate on his work."
The Taliban were developed to bring a fundamentalist Islamic sense of order to the chaos of Afghanistan left in the wake of the Soviet defeat and America's always wavering attention span.
The intervention promoters felt that the language for the pledge was too long, resulting in wavering attention and lack of sincerity amongst those who agreed to take the pledge.
Sexy Burka is sung to Mahmoud's wife by a burka-wearing friend who tells her that wearing sexy clothes is not the way to win back her husband's wavering attention.
Stumpf should have been chasing down just what was amiss at the retail banking operations as soon as headlines popped up in the Los Angeles Times in 2013, or as soon as the bank had to lay off employees for fraud, whichever grabbed his wavering attention first.
Another obstacle to assisting IDPs has been the wavering international attention and funding.
Moreover, as Mr Romney turns his attention to wavering voters, the last thing he wants is someone like Mr Akin taking extremist positions in the way he did in the TV interview.
With their shaky hand-held shots, their overexposed bleach-outs and dodgy sound, their silences and wavering focus and lingering attention on inconsequent detail, Mekas's films are like home movies.
The rain was starting to fall and attentions were wavering, Williams's included.
I turned on the radio, in case my post-Wrangler Bar attention wavered.
There is, indeed, evidence that Republicans are more fired up than Democrats, with Romney-leaning undecided voters telling pollsters that they are more certain to vote and are paying more attention to the election than soft or wavering Obama voters.
In the 2010 New York Times Magazine article on which her book is based, Ms. Butler's attention never wavered from the message contained in that bitter passage.
