Answer: POLICE CAR
These are all phrases that are anagrams of MITMYSTERYHUNT. Take the position of the "i" in the new phrase (as clued by the lowercase "i" in the title), and index into the clue phrase.
Here are the answers to the clues:
|Description of vets by a tomcat? (4 4 2 4)||they trIm my nuts||7||P|
|Two smelly rugby teams? (6 5 3)||thIrty musty men||3||O|
|Tale of loopy cheapskate? (5 5 4)||nutty mIser myth||7||L|
|Fido wins poetry slam despite stature? (4 4 6)||tIny mutt rhymes||2||I|
|Cyan game chicken laying rare earth eggs? (4 7 3)||myst yttrIum hen||9||C|
|Helpful DNA recommendation to RNA? (4 3 7)||must try thymIne||12||E|
|Angry cry of herb farmer's heir? (5 2 2 5)||thyme In my trust||6||C|
|Barney Stinson might hum this when he wants to get laid? (5 5 4)||hImym tryst tune||2||A|
|Property of even metallic shacks? (3 3 8)||tIn hut symmetry||2||R|
The answer is POLICECAR.