Shaken, he advised losing Democrat to get sticky (8)
I believe the answer is:
adhesive
'sticky' is the definition.
(similar in meaning)
'shaken he advised losing democrat' is the wordplay.
'shaken' is an anagram indicator.
'losing' suggests deleting specific letters.
'democrat' becomes 'd'.
'he'+'advised'='headvised'
'headvised' with 'd' taken away is 'heavised'.
'heavised' anagrammed gives 'ADHESIVE'.
'to get' is the link.
(Other definitions for adhesive that I've seen before include "Sticky; glue" , "Tending to stick" , "Tacky" , "Substance that sticks" , "Glue, gum" .)