Thank you for this Jolan and welcome back. Hope you are well.
Rarely get the chance to indulge on Tuesdays and this was once again a treat.
Here is my stab at it-
1. Pulse lover? (5-5)- HEART THROB?
Double definition – a pulse is a “heart throb” as is a lover?
2. Old Persian prince and son with Asian maidservant and Indian butler (9) – KHANSAMAH?
Khan – old Persian prince + s for son and amah for Asian maidservant gives Khan s amah in Chambers as an Indian butler?
3. He smears fillings with soybeans and millet, preferring double-centres (8) – LIBELLER?
Middle letters (fillings, double centres) of FilLIngs, soyBEan, miLLet and prefERring gives libeller, one who smears?
4. Amplify its sound level (4) – RAZE?
Raise- amplify sounds like raze – to level?
5. Secretly cut her need to run off (5-3-7) UNDER THE COUNTER?
Anagram of “cut her need to run” gives “under the counter” – secretly?
Thanks again, Jolan.
AB