ACROSS
1 Makeshift hospital embraced by a physician (2,3) AD HOC {A}{D{H}OC}
4
One with crooked supporters, out eating some breakfast (3-6)
BOW-LEGGED {BOWL{EGG}ED}
9
Study a large,
grand, headless animal (7)
ALGEBRA {A}{L}{G}{
zEBRA}
10 Think exchanging bishop for rook is free? (7) RELIEVE (-b+r)RELIEVE
11 Kitchen area is secure (6) ISLAND {IS}{LAND}
12 Recommends inspiring retired teacher for those needing a guide (8) TOURISTS {TOU{SIR<=}TS}
14 Choke a potty (4) GAGA {GAG}{A}
15 Chief mischief-maker's cryptic grid? Learn about misdirections, essentially (10) RINGLEADER {GRID+LEARN}* over {m...rEc...s}
18 Small charges tend to soar while travelling (10) DETONATORS*
19 Charging device in vehicle died (4) CARD {CAR}{D}
22 Some schools provided retreats—quiet, distant monasteries, basically (4,4) FISH FARM {IF<=}{SH}{FAR}{Mo...s}
24 Tough series India lost for nought (6) STRONG STR(-i+o)ONG
26 One wished vacation in Gulag for vile person (1,3,3) A BAD EGG {A}{BADE}{GulaG}
27 Dignified mournful song abruptly cut off by pest (7) ELEGANT {ELEGy}{ANT}
28 Blasted constant tea breaks spoiled sport for viewer (9) SPECTATOR {C+TEA}* in {SPORT}*
29 About a facial feature somehow, IMO, lacking in enigmatic Mona Lisa (5) NASAL {moNA+LiSA}*
DOWN
1 Alibaba's ingenuity keeps humbling (7) ABASING [T]
2 Oh, sigh, flight has no openings; that creates stress (9) HIGHLIGHT {oH}{sIGH}{fLIGHT}
3
Conservative American houses prohibit
cigars (6)
CUBANS {C}{U{BAN}S}
4
Swine stole last part of dinner (4)
BOAR {BOA}{
d...eR}
5
Hawks not cool with taking more time without starting attack
s, ultimately (10)
WARMONGERS {WARM}{
lONGER}{
a...kS}
6 Blew up grenade accidentally, after consuming a spot of liquor (8) ENLARGED {EN{Li...r}ARGED*}
7 Attendees rising regularly, sure enough (5) GOERS {SuRe+EnOuGh<=}
8 Doctor sees broken middle of arm with hospital assistant (7) DRESSER {DR}{SEES*}{aRm}
13 Entitlement of merriment without male interrupting—brilliant! (10) BIRTHRIGHT {B{mIRTH}RIGHT}
16 Oil and gas refining lines (9) DIAGONALS*
17 Roughly fifteen divided by hundred, basically (2,6) IN EFFECT {FIFTEEN}* over {C}
18 Satisfied all over with nibbles and licks (7) DEFEATS {FED<=}{EATS}
20 Like a country mostly computerised (7) DIGITAL {DIG}{ITALy}
21 Scattered news pieces involving evacuation in Thanjavur (6) STREWN {S{Th...uR}EWN*}
23 Special first-class room (5) SPACE {SP}{ACE}
25 University earnestly restrains student group (4) YEAR [T]
