Enter a tent and peer around (9)
I believe the answer is:
penetrate
'enter' is the definition.
(penetrating is a kind of entering)
'a tent and peer around' is the wordplay.
'and' says to put letters next to each other (I've seen this in other clues).
'around' indicates anagramming the letters.
'a'+'tent'='atent'
'atent' put after 'peer' is 'peeratent'.
'peeratent' anagrammed gives 'PENETRATE'.
(Other definitions for penetrate that I've seen before include "Run through" , "probe" , "Go through" , "Pierce" , "Pass into or through" .)