Put down to a bed in empty space (7)
I believe the answer is:
ascribe
'put down' is the definition.
(I've seen this before)
'a bed in empty space' is the wordplay.
'bed' becomes 'crib' (bed for a child).
'in' indicates putting letters inside.
'empty' means to remove the middle letters.
'space' with its middle taken out is 'se'.
'crib' going inside 'se' is 'scribe'.
'a'+'scribe'='ASCRIBE'
'to' is the link.
(Other definitions for ascribe that I've seen before include "Attribute to specified source or cause" , "'Attribute, assign (7)'" , "'Impute, assign (7)'" , "Attribute or credit to" , "Attribute (something to a cause)" .)