Coming from Senegal or Eritrea in great numbers (6)
I believe the answer is:
galore
'in great numbers' is the definition.
(I've seen this before)
'coming from senegal or eritrea' is the wordplay.
'coming from' indicates the answer is hidden within the clue.
'GALORE' is hidden within 'senegal or eritrea'.
(Other definitions for galore that I've seen before include "Aplenty" , "Pussy ---, Bond girl" , "In profusion" , "to spare" , "Lo, Reg, a change could be in abundance" .)