Try to systematise some of the housekeeping (4)
I believe the answer is:
seek
'try' is the definition.
(I know that try can be written as seek)
'systematise some of the housekeeping' is the wordplay.
'some of' says to take the initial letters (I've seen 'some' mean this).
'the housekeeping' becomes 'eek' (I can't explain this - if you can you should believe this answer much more).
The initial letter of 'systematise' is 's'.
's'+'eek'='SEEK'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for seek that I've seen before include "Ask for (permission)" , "Try to locate or reach" , "'. . . . and ye shall find'" , "Hunt, look for" , "Attempt - search" .)