Painter gives extremely detailed subject of self-portrait to sovereign (7)
I believe the answer is:
Here is my best explanation:
'painter' is the definition.
(I've seen this before)
'extremely detailed subject of self-portrait to sovereign' is the subsidiary indication.
'extremely' becomes 'very' (I've seen this before).
'detailed' means to remove the last letter (the word must be end-less or 'de-tailed').
'subject of self-portrait' becomes 'me'.
'to sovereign' becomes 'er' (Abbreviation for Elizabeth Regina).
'very' with its final letter taken off is 'ver'.
'gives' is the link.
(Other definitions for vermeer that I've seen before include "Girl with a Pearl Earring artist", "Painter of Girl with a Pearl Earring, d. 1675", "Dutch painter, Jan, d. 1676", "Interior painter", "'Dutch painter, noted for his use of light (7)'", "Jan -, seventeenth century Dutch painter", "Dutch Baroque painter", "Jan -, seventeenth-century Dutch painter", "Dutch painter renowned for his use of light" and "He painted The Girl with the Pear Earring".)