Thanks for having a go everyone, nice to see a few additional names outwith the hard core and the return of Joan after a lengthy absence.
To summarise...
1.Mysterious [puss etc]...Macavity?(7) [suspect]
Mysterious as anagrind, Macavity was always suspected but they could never pin it on him.
2.John with a pulse during mass shock(10)[S-can/dal-IZE]
3.Better than the real thing for rugs/not used by baldies(7)[shampoo] may be used for washing rugs(better than having real poo on the rug)but baldies have no use for it.
4.Resentment of TS Eliot work “Toilets”, penned freely it noted irregular evacuation(6)[spleen] complex anag(Jolan style)as explained by peterm, TS Eliot/toilets as a diversion.
5.Big Essex bird with a prominent chest, bishop must go over(6)[SE-ni(B)or
6.Scat Report, a little “business” publication I peek at(6)[shu-FT-I]
7.Cheeses off phoney giant supporters?(6)[stilt(on)s]...slightly dodgy, off=not on, immediately spotted by Joan.
Close order, the humanist ideal rocks(7)[no-rites]