The phrase "lively response" is correct and usable in written English.
It can be used to describe a reaction or reply that is energetic, enthusiastic, or animated.
Example: "The audience gave a lively response to the comedian's jokes, filling the room with laughter."
Alternatives: "animated reply" or "enthusiastic reaction."
He wrote a lively response.
When and if it vanishes entirely, new research predicts a lively response from the volcanoes currently residing beneath.
An article I wrote in for the Guardian recently produced a lively response online and in the letters page.
For highway driving, this system is calibrated to deliver lively response, but at low speeds the reactions of the 316-horsepower V-8 engine are much more relaxed.
Our leader on Narendra Modi, the favourite to be India's next prime minister, prompted a lively response (to say the least) from our readers in India and elsewhere.
When the air pipe reached the trapped miners early Thursday, they offered a lively response, tapping on the drill nine times in the traditional miners' code enumerating survivors below.
Frank Jackson (1982) has given an epiphenomenalistic argument that has spawned lively responses from many quarters.
In the 1900s, these projects have given rise to very lively responses from European judicial and political bodies.
Lionsgate is hoping for as lively a response when it releases the film later this year.
That's a likely response to the lively production of "All's Well That Ends Well" at Shakespeare's Globe, with which the director John Dove has kicked off the 2011 season at the Thames-side venue.
There were political discussions about the presumed loyalty of dual citizens, as well as lively debate in response to a speech by Argentine-born Dutch Crown Princess Máxima, champion of integration in The Netherlands, in which she described Dutch identity as not "static" but rather multidimensional and fluid.
