"little familiarity" is correct and usable in written English.
You can use it to describe a relationship with another person, a place or thing, or a set of knowledge. For example: "I had little familiarity with the software, so it took me a while to learn how to use it."
Mr. Reed had little familiarity with Gilbert and Sullivan, an almost treasonous stance for a Briton.
Some of the letters show little familiarity with the proposed regulations.
The judges themselves betrayed little familiarity with the subject at hand.
"In those countries, they tend to have the excuse that there is little familiarity with blacks and Asians, a fear of the unknown," Ouseley said.
To some degree, the fire sales are a reflection of growing expertise within some banks, which had little familiarity with owning and selling property before.
Mr. Page, a lawyer, had little familiarity with technology, but he believed CityTime would curb timekeeping abuses and save the city tens of millions annually.
After eight and a half years together, Carrie and Mike have "all the little familiarities down".
Covering my lips, which are rather pillowy and sensual, with a discreet suggestion of dark-ruby lipstick, I felt sufficiently mousey to discourage any little familiarities Mister Testosterone might toss my way.
And if we can come in with a little more familiarity at home, I think we'll shoot the ball better".
The Los Angeles Clippers, on the other hand well, let's just say the basketball team has a little more familiarity with that taste.
On the other hand, the contributors to the book appear to have little or no familiarity with pastoralists in the vast region that is more familiar to me and within which I have done fieldwork: the mixed (mainly sheep and goat) pastoralists of mountainous southwest Asia Turkey, Iran, Afghanistann) and the camel and small stock pastoralists of the Mediterranean, North Africa and the Middle East.
