Become more inclined to visit writer penning tango (7)
I believe the answer is:
steepen
'become more inclined' is the definition.
I can't tell whether this defines the answer.
'visit writer penning tango' is the wordplay.
'visit' becomes 'see' (seeing is a kind of visiting).
'writer' becomes 'pen' (something which writes).
'penning' indicates putting letters inside.
'tango' becomes 'T' (phonetic alphabet: alpha, bravo, charlie etc.).
'see'+'pen'='seepen'
'seepen' going around 't' is 'STEEPEN'.
'to' is the link.
Can you help me to learn more?
(Other definitions for steepen that I've seen before include "Begin to rise faster" , "Rise more quickly" , "Pet seen (anag.)" , "Show increased inclination" , "Get more sloped" .)