The phrase "a little time looking" is correct and usable in written English.
It can be used when referring to spending a small amount of time observing or searching for something.
Example: "I spent a little time looking for my keys before realizing they were in my bag."
Alternatives: "a short while searching" or "a bit of time searching".
I spent a little time looking at hand-painted postcards that seemed somehow to be imbued with both the weirdness and the splendor of Coney Island's history.
I took a little time looking at it, then took a six-iron, and I suppose I swung as hard at it as I'd ever swung a golf club in my life: I cut enough hay to feed the cows for a year.
After the first three, there's a reeeeeal big drop off…" Before the Toronto v Colorado game this weekend, I spent a little time looking at stat blogger Steve Fenn's graphical rendering of MLS salaries, based on this week's bi-annual release of the figures by the MLS Players Union, and kept thinking of that Hicks' riff.
Anyone who is a doubter should spend a little time looking at what's happening in the Arctic and witness how real this issue is for us".
As the genre wouldn't exist as we know it without Von Oswald and Ernestus, we should spend a little time looking at their masterpieces and why they work.
They cannot stomach a simple diet even for a little time, look at the fuss they made about cutting back on their luxuries for Zuma's speech".
Sheridan has wasted little time looking for a replacement left-back, with Canadian Martin John and Ryan Dickson both on trial.
Most people in the Instagram world spend very little time looking at a lot of images maybe liking them, maybe not.
His comments make sense: we have come to a point in society where we are all taking too many photos and spending very little time looking at them.
The portrait Many celebrities spend very little time looking at themselves in the mirror, so they may well appreciate a portrait of themselves, just to remember how good they look to the outside world.
Dr. Dean said he had spent little time looking through what physicians call the "retrospectoscope" to examine the mistakes that led to his campaign's implosion.
