Super easy, but also I think quite well clued. This would probably make for a good beginner crossword. It's interesting how LR bounces around difficulty levels, but I do think his easier ones are better constructed.
Across
- 1
- Constructs secret puzzle (6)
ERECTS — anagram (puzzle) of SECRET - 5
- Filled in with soft cheese, nourished (7)
BRIEFED — BRIE (soft cheese) FED (nourished) - 9
- Aunt Prue avoided leaders? False! (6)
UNTRUE — aUNT pRUE, without first letters - 10
- Brief visit looking into solutions to poverty (8)
STOPOVER — hidden in solutionS TO POVERty - 11
- Passionate time in Minorca resort (8)
ROMANTIC — T (time) inside anagram (resort) of MINORCA - 12
- Prompt Timothy Shorten to enter four quarters (2,4)
ON TIME — TIM (Timothy, shorten) inside ONE (four quarters) - 13
- Writer cries tears about debut of book (6)
SCRIBE — anagram (tears) of CRIES around B (first letter of book) - 15
- Attractive waiter spilled one tea ingredient (3,5)
HOT WATER — HOT (attractive) WAiTER without i (one) - 18
- Refs revolted after team initially sprinted: "Carry!" (8)
TRANSFER — T (first letter of team) RAN (sprinted) reversal (revolted) of REFS - 20
- Part of the nose kept missing potassium in total (6)
SEPTUM — SUM (total) containing kEPT without k (potassium) - 21
- Josh Brown and Nathan Taylor elected religious leaders (6)
BANTER — first letters of Brown And Nathan Taylor Elected Religious - 24
- Hand of poker star, shuffling and discarding first eight (8)
STRAIGHT — anagram (shuffling) of STAR, eIGHT without first letter - 26
- Global superpower Doctor, I presume? (1.1,6)
US EMPIRE — anagram (doctor) of I PRESUME - 27
- Member of a square board or round table? (6)
KNIGHT — double def., cryptic def. - 28
- Oddly ready to pursue sport, lacking direction for play (7)
PORTRAY — sPORT without s (direction), RAY (odd letters of ready) - 29
- Reserved 11-across outing after she rejected hotel (6)
SEDATE- — ShE without h (hotel), DATE (11-across [romantic])
Down
- 2
- Dial Zero for rock star (5)
RINGO — RING (dial) O (zero) - 3
- Carl pruned country flower (9)
CARNATION — CARl (without last letter) NATION (country) - 4
- Short episodes rewound by court in regards to ghost (7)
SPECTRE — reversal (rewound) of EPS (short episodes), CT (court), RE (in regards to) - 5
- Cardinal Austin regularly entered before Christ (5)
BASIC — BC (before Christ) containing ASI (odd letters of austin) - 6
- Smooth, lidless biro - not containing uranium (4,3)
IRON OUT — bIRO without first letter, NOT containing U (uranium) - 7
- Violate first law in cooking tofu (5)
FLOUT — anagram (cooking) of TOFU containing L (first letter of law) - 8
- Son abandoned reason, entering empty dorm for sleep sequence (5)
DREAM — REAson without son inside DM (dorm without outside letters) - 14
- Wilde ditched overseas vehicle (3)
CAR — osCAR (Wilde) without os (overseas) - 15
- That lady's somewhat incoherent (3)
HER — hidden in incoHERent - 16
- A politician and I entered playing field and got louder (9)
AMPLIFIED — A MP (politician) anagram (playing) of FIELD containing I - 17
- Bird's skinless leg bone (3)
EMU — fEMUr (leg bone, without outside letters) - 19
- Distant river that is right for shoemaker, perhaps (7)
FARRIER — FAR (distant) R (river) IE (that is) R (right) - 20
- Chief of Staff attempts to pocket 1000 pounds (7)
STRIKES — S (first letter of staff) TRIES (attempts) containing K (1000) - 22
- Even cadets go up to this old writer (5)
AESOP — even letters of cadets go up - 23
- Planet America features a circus act (5)
TAMER — hidden in planeT AMERica - 24
- Disreputable witness erases contents of diary (5)
SEEDY — SEE (witness) DY (outside letters of diary) - 25
- Welcome diminishing bigotry - we can beat this! (2-3)
HI-HAT — HI (welcome) HATe (bigotry, without last letter)