Solution to 27D has been deliberately left unsolved and is to be answered by a non-regular/novice commenter, with proper annotation. Those who have answered earlier in the week, please give others a chance.
Open for anyone to answer, if not solved by 1 PM.
ACROSS
7 Had to take medication in vehicle for grub (11) CATERPILLAR {C{ATE}{R}{PILL}AR}
10 Elderly grandma going home tired at last (4) AGED Tail acrostic
11 Fine note played frequently (5) OFTEN {F+NOTE}*
12 Host member close to society (4) ARMY {ARM}{s...tY}
13 Hints tackling reading mistakes (5) TRIPS {T{R}IPS}
15 Hatred spread through cold gangster in church (9) CATHEDRAL {C}{HATRED*}{AL}
16 Husband removing lead from dog's bowl (6) HOLLOW (H}{fOLLOW}
18 Return live in time for argument (6) DEBATE {D{BE<=}ATE}
21 D-shape discontinued gradually (6,3) PHASED OUT {D+SHAPE}* [RA]
23 Demanded rum, sake and unlimited vodka (5) ASKED {SAKE*}{voDka}
25 Press covering UN, regret occasionally (4) URGE {Un+ReGrEt}
26 Children's magazine (5) ISSUE [DD]
27 Some help us help Ram? (4) PUSH [T]
28 Flash drive (3) ZIP [DD]
29 Profession of outstanding field work? (11) AGRICULTURE [CD]
DOWN
1 Animal climbing tree biting hairy organ (8) KANGAROO {OAK}<= over {ORGAN}*
4 Excited about blankets behind American plane (7) PLATEAU {UP<=} over {LATE}{A}
5 Took off and had food including aperitif, at the start (8) LAUNCHED {L{Ap...f}UNCHED}
9 Heard reverend father gambles in irrecoverable obligations (3,5) BAD DEBTS (~dad bets to bad debts)
17 Women, ultimately accepted, signed up for matches (8) WEDDINGS {W}{a...eD+SIGNED}*
19 Value greatly found in nitre as urea (8) TREASURE [T]
20 Interest virgin in short outfit (7) PURSUIT {PURe}{SUIT}
22 Brave ants marching out of chain store building (6) HEROIC {CHaIn+stORE}*
24 Started changing name for married Muslim lady (5) BEGUM BEGU(-n+m)M
27 Weep for devoutness, disheartened (4) P?T?
Reference List
Take = R, Fine = F, Reading = R, Cold = C, Gangster = AL(Capone), Husband = H, American = A, School = S, Day = D, Women = W, Name = N, Married = M
