The phrase "allow glimpses" is correct and usable in written English.
It can be used when referring to providing brief or partial views of something, often in a metaphorical sense.
Example: "The documentary allows glimpses into the lives of the people living in the remote village."
Alternatives: "offer insights" or "provide hints".
His letters from these years are typically brief and businesslike, but occasionally allow glimpses of a melancholy, strong-willed personality.
On Mr. Mountsier's side of the street, walled gardens with openings allow glimpses of the pleasures to come.
Table tops of molded pale green resin allow glimpses of the legs and the cantilevered braces that support them.
Perhaps it's because the right angles and dramatic lines have been placed in such a way as to allow glimpses of the sunwashed landscapes.
Ravel, who conceived of this piece as the "apotheosis of the Viennese waltz," described the opening as "eddying clouds" that allow glimpses of waltzing couples until the clouds disperse.
The conception and execution of the tower walks are charted in elliptical, snapshot episodes that at times read almost like a film script, but the most striking passages are those that allow glimpses into the extraordinary mind of the author.
The grid allows glimpses of sky, of the Hudson and East Rivers.
But this portrait (recently released on video and DVD) allows glimpses into its subject's private life.
This deft strategy pushes Walter Moody aside and eventually allows glimpses into the minds of all the men in the room, with their plentiful secrets and curious interlockings.
(A word to the acrophobic: Don't look down at your feet, because the spacing of the bamboo allows glimpses of the roof's floor below).
They make of it a little city, allowing glimpses as if of other people's apartments into galleries on the other side of the show.
