Sat on beam, fence — regularly picked up sticks (7)
I believe the answer is:
cements
'sticks' is the definition.
(cement can mean to stick or bond)
'sat on beam fence regularly picked up' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'picked up' says the letters should be written backwards.
'sat'+'on'+'beam'+'fence'='satonbeamfence'
The alternate letters of 'satonbeamfence' are 'stnemec'.
'stnemec' written backwards gives 'CEMENTS'.
(Another definition for cements that I've seen is " Makes concrete".)