Nose around primarily with doctor, finding spring flower (8)
I believe the answer is:
snowdrop
'spring flower' is the definition.
(I've seen this before)
'nose around primarily with doctor finding' is the wordplay.
'nose' becomes 'snoop' (to snoop is to nose around).
'around' indicates putting letters inside.
'primarily' suggests taking the first letters.
'doctor finding' becomes 'dr' (I can't justify this - if you can you should give a lot more credence to this answer).
The first letter of 'with' is 'w'.
'w'+'dr'='wdr'
'snoop' going around 'wdr' is 'SNOWDROP'.
(Other definitions for snowdrop that I've seen before include "Wood anemone" , "Winter bloomer" , "Small white flower of early spring" , "covering borders in spring" , "A blooming" .)