The phrase "a thin more" is not correct in written English.
It seems to be an incorrect combination of words, possibly intended to express a slight increase or addition.
Example: "I would like a thin more of that sauce on my plate."
Alternatives: "a little more" or "slightly more".
And there's more: Adam was sleeping with someone else, a thinner, more conventionally pretty woman.
Meanwhile some black women are painstakingly making up their lips to achieve a thinner, more typically Caucasian lip line.
A knuckleball glove is a species that lies somewhere between a traditional catcher's mitt and a thinner, more pliable first baseman's glove.
Every woman in the world may have wanted to be Jackie Kennedy, but the British female saw a thinner, more polished version of herself.
The two canvases flanking the door feature relatively open double rows: a thinner, more calligraphic band atop a band of broader, freer loops.
Xserve -- a thinner, more compact machine designed for clustering with other computers -- will replace the supercomputer that Virginia Tech built last year using off-the-shelf G5 PowerMacs.
Perennially tanned, exquisitely dressed, Mr. Berlusconi is self-conscious about his appearance (campaign posters that flooded Italy air-brushed him back to a thinner, more full-haired self).
After equal oxidation time, the Ti 6Al 7Nb alloy exhibited a thinner, more compact and dense oxide layer than the TiNbZr alloys, indicating a slower oxidation rate.
A guided laser can cut a thinner, more uniform flap, while a corrective laser with variable size beams can reshape the cornea with increased accuracy, keeping on target even as the eye moves.
Best of all were a series of suggestive frocks pieced together from a techno fabric that resembled a thinner, more supple neoprene, with trompe l'oeil pockets, pleats and collars picked out in peekaboo tulle.
