"snatching up" is correct and usable in written English.
It generally means to grab or take something quickly, so it can be used in a variety of contexts. Example: She snatched up the keys and ran out the door.
Russians are snatching up foreign-branded cars.
People started running, screaming, snatching up kids.
Big-for-his-age Chaim bulldozed his way around, snatching up toys.
To capture this demand, more developers are snatching up run-down mansions and renovating them.
Other major drug companies have been snatching up Democratic former-aides-turned-lobbyists.
"It's never felt like work to me," she says, snatching up her summons.
Women -- are snatching up brightly colored cotton-knit tanks this summer by Fancy Pony Land.
"We got someone out here that's snatching up females," said Stephanie Jones, 28, a nursing student.
The refugees, who are willing to work for next to nothing, are snatching up all the menial jobs.
In the day's Vikings news, they are leaking receivers and resorted to snatching up a former Favre favorite, Javon Walker.
Meryl Evans suggests five steps for reputation management, including "snatching up all domain names associated with your business".
